Question

Given the diagram, state whether you can reach the conclusion shown.

$\angle AOE$and$\angle AOD$ are adjacent angles.

Short answer

We cannot conclude that $\angle AOE$and $\angle AOD$are adjacent angles.

Step-by-step solution

Step 1. Observe the given diagram.

Step 2. Highlight ∠AOE and ∠AOD in the given diagram.

Step 3. Explain whether you can reach the given conclusion.

Two angles in a plane that have a common vertex and a common side but no common interior points are called adjacent angles.$\angle AOE$ is a subset of $\angle AOD$and point E is in the interior region of $\angle AOE$and $\angle AOD$. Therefore, $\angle AOE$and $\angle AOD$are not adjacent angles even though they have a common vertex point O and common ray $\overline{OA}$.